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Finding the Fourth Proportional to 9,610.44, 14,415.04 and 5,711.50

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Solution

The fourth proportional to 9,610.44, 14,415.04 and 5,711.50 is: 8,566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.44 : 14,415.04 = 5,711.50 : x
  2. Step 2: Convert to fraction form
    9,610.44/14,415.04 = 5,711.50/x
  3. Step 3: Cross multiply
    9,610.44x = 14,415.04 × 5,711.50
  4. Step 4: Simplify right side
    9,610.44x = 82,331,500.96
  5. Step 5: Solve for x
    x = 82,331,500.96/9,610.44
  6. Step 6: Final answer
    x = 8,566.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.